Practice question · Sort into groups
Sort each claim by whether it uses membership or inclusion correctly.
Groups: Correct use of membership · Correct use of inclusion
- The set containing 1 is contained in the set containing 1 and 2
- The set containing 1 belongs to the set whose only member is that set
- The empty set is contained in every set
- The number 2 belongs to the set of even numbers
Hints
- Membership relates an object to a set; inclusion relates two sets.
- A set can be both a member of one set and a subset of another.
Show the answer
Correct use of membership: The number 2 belongs to the set of even numbers, The set containing 1 belongs to the set whose only member is that set
Correct use of inclusion: The set containing 1 is contained in the set containing 1 and 2, The empty set is contained in every set
Why
Membership is object-to-set and inclusion is set-to-set. A set can be a member of one collection and a subset of another, which is exactly why the two symbols must be kept apart.
Practise Set Theory: Membership and Operations
The app has 4 more questions on this lesson, and keeps your place in the course. Philosophy I is free to start.
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